Survey points $A$ and $B$ are $120\text{ m}$ apart on a straight east–west river bank, with \(

Question

Survey points $A$ and $B$ are $120\text{ m}$ apart on a straight east–west river bank, with $B$ due east of $A$. A launch at $C$ is on a bearing of $034^\circ$ from $A$ and $307^\circ$ from $B$. Give non-exact numerical answers correct to $3$ significant figures. Find $\angle BAC$ and $\angle ABC$.[2] Find $AC$.[3] Find the area of triangle $ABC$.[2] Find the shortest distance from $C$ to the river bank $AB$.[2]

Accepted Answer

(a) $56^\circ$, $37^\circ$ (b) $72.3\text{ m}$ (c) $3.60\times10^3\text{ m}^2$ (d) $60.0\text{ m}$

Surveying a river launch

Surveying a river launch

Solution:

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